It really depends, but my perspective is unique.
I know I wasnt trying to date anyone when I was pregnant because I felt like that was alot to put on someone especially someone you dont have history with. Plus I was working fulltime and going to school fulltime so I didnt have time.
If I was a single man in my 20s I definitely wouldn't.
Being the person I am now ... I wouldn't be opposed to trying and engaging in a serious relationship if things went well. Being pregnant and having a baby by yourself is not easy.